A well-studied example of complex behavior arising from simple mechanisms is the coexistence of synchrony and asynchrony within a system of identical coupled oscillators, a phenomenon known as a chimera state [1]}, [2]}.
The existence of these chimera states is surprising, as they represent asymmetry within symmetric systems.
One of the simplest systems which produces chimera states is the Abrams model which consists of two populations of identical oscillators with a stronger coupling strength within the populations than between them [3]}.
The system is described by the following:
\({\theta _{i}^{\sigma }}{t}=\omega +\sum _{\sigma ^{\prime } = 1}^{2} \frac{K_{\sigma \sigma ^{\prime }}}{N_{\sigma ^{\prime }}} \sum _{j = 1}^{N_{\sigma ^{\prime }}} \sin (\theta _{j}^{\sigma ^{\prime }} - \theta _{i}^{\sigma } - \alpha ),\) 
